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43 articles for “Lattice”
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Research ArticleOpen accessEvery word in the titleOn the Construction and Properties of Lattice-Group Structure in Cartesian Product SpacesDavronbek Malikov, Susmit BagchiThe lattice theory and group algebra have several applications in computing sciences as well as physical sciences. The concept of lattice-group structure is an interesting hybrid algebraic structure having potential applications. In this paper, the algebraic construction of lattice-group structure is formulated and associated algebraic properties are established. The proposed construction considers Cartesian product spaces. The concept of two-dimensional monoid … …Journal of Computer Science, Vol. 16, Issue 4 · 3 Apr 2020 · 7,834 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNumerical Analysis of Lattice Structures for Skin Layer in Camber Morphing WingBashir Alsaidi, Woong Yeol Joe, Muhammad AkbarUnlike conventional fixed wings and their static skin structure considering only expected aerodynamic loadings while filight, design strategies of skin structure for morphing wings require careful consideration of structural loading from shape changes and aerodynamics and their coupled effects in flight. Many morphing wings often overlook skin material and structure for the wing design. In addition to that, many works … …American Journal of Applied Sciences, Vol. 16, Issue 6 · 15 Jul 2019 · 7,740 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn the Comparison of Methods of Estimating Missing Values in Rectangular Lattice DesignsAbimibola V. Oladugba, Emmanuel O. Ossai, Tobias E. UgahMissing values occur in almost all research which lead to ambiguity in data analysis. It becomes necessary that appropriate consideration is made in order to provide an efficient and valid analysis. Researchers have developed and compared a variety of methods of estimating missing values in experimental designs; however, no research work has derived and compared methods of estimating missing values, … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 11 Oct 2018 · 7,044 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Systematic Procedure for Square Random Lattice SamplingGirish Chandra, Neeraj TiwariAn attempt has been made in this paper to improve the method 'Square Random Lattice Sampling' by suggesting a systematic procedure for achieving the goals under controls beyond stratification. The estimator of mean and its variance are calculated. Results shows that the relative precision of the proposed procedure increases as size of the latin square and the number of latin … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 20 Jul 2017 · 6,962 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleDistribution of Records Defined on Ordered Words Representing Lattice PathsA. M. Alahmadi, E. A. MahmoudProblem statement: Let the sequence i1,i2,…,in, denoted by Snn be an increasing ordered word of length n taken from the set of the n positive integers S= {1,2,…,n}, m, n ∈N+, m≥n.. Approach: That is 1≤i1≤i2≤…≤in≤n. Treating Snn as a sequence of weak records {Lj = ij}, i, j = 1,2,…,n, the distribution of the single weak record as well … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 6,998 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleVariation in the Thickness of A Fluid Interface Due to Internal Wave Propagation: A Lattice Boltzmann SimulationJ.M. Buick, D.B. Hann, J.A. CosgroveThe change in the thickness of an interface between two immiscible fluids due to the propagation of an internal capillary-gravity wave along the interface is considered using a Bhatnagar, Gross and Krook (BGK) lattice Boltzmann model of a binary of fluid. The vertical thickness of the interface is recorded from the simulations since this is the most easily measured quantities … …American Journal of Applied Sciences, Vol. 1, Issue 1 · 31 Mar 2004 · 7,248 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleHomomorphisms on Lattices of MeasuresNorris Sookoo, Peter ChamiProblem statement: Homomorphisms on lattices of measures defined on the quotient spaces of the integers were considered. These measures were defined in terms of Sharma-Kaushik partitions. The homomorphisms were studied in terms of their relationship with the underlying Sharma-Kaushik partitions. Approach: We defined certain mappings between lattices of Sharma-Kaushik partitions and showed that they are homomorphisms. These homomorphisms were mirrored … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,004 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleMultilevel Evaluation of Coulomb Lattice Sums of Charge SystemsV. Ilyin, A. Brandt, I. SuwanProblem statement: Due to the long range nature of interactions of the N-body systems, direct computation of the Coulomb potential energy involves O(N2) operations. To decrease such complexity, a simple Multilevel Summation method has been developed. Approach: In the frame of the Multilevel Summation method, the two-body interaction is decomposed into two parts: a local part and a smooth part. … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 11 Sep 2012 · 7,377 accessesView PDFCite
Research ArticleOpen accessIn the keywordsElements of Formal Probabilistic MechanicsFarida Kachapova, Ilias KachapovIn this study model of particle motion on a three-dimensional lattice is created using discrete random walk with small steps. A probability space of the particle trajectories is rigorously constructed. Unlike deterministic approach in classical mechanics, here probabilistic properties of particle movement are used to formally derive analogues of Newton’s first and second laws of motion. Similar probabilistic models can … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 18 Mar 2022 · 6,254 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDevelopment and Optimization of Plant Extract Loaded Nanoemulsion Mixtures for the Treatment of Inflammatory DisorderMukesh Gohel, Tejal Soni, Lal Hingorani et al.In current study, a nanoemulsion as drug delivery system (NE) of spray dried Boswellia Serrata Extract (BSE) was developed and characterized to compare it in vitro/Ex vivo diffusion with reference formulation. Pseudo-ternary phase diagrams were constructed by phase diagram by aqueous titration method, of which the evaluation method was improved for solubility, Droplet size and transmittance. The formulation of BSE-loaded … …Current Research in Drug Discovery, Vol. 1, Issue 2 · 26 Jan 2015 · 14,064 accessesView PDFCite